Words / CONCEPT
Minimality of the Golden Word Subshift
Uniform recurrence makes every member of the golden word subshift share its factor language, hence every forward orbit is dense and no proper nonempty closed shift-invariant subsystem exists.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES4
PROOF DEPTH12
DOCUMENT LINKS1
A subshift member has no new factors
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- An Invariant Measure on the Golden Word Subshifttruth-dependency · Closed
- Minimality of Irrational Lower Mechanical Word Subshiftstruth-dependency · Closed
- The Minimal Forward-Shift Action on the Golden Subshifttruth-dependency · Closed
- Uniform Finite-Pattern Recurrence Across the Golden Subshifttruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- An Exact Factor Window for the m-Bonacci Wordstructural-affinity · Closed
- An Invariant Measure on the Golden Word Subshiftstructural-affinity · Closed
- Density and Slope Rigidity of Mechanical Subshiftsstructural-affinity · Closed
- Intercept Independence of Irrational Mechanical Subshiftsstructural-affinity · Closed
- Invariant Measures Have Full Supportstructural-affinity · Closed
- Minimality of Irrational Lower Mechanical Word Subshiftsstructural-affinity · Closed
- No Uniform Infinite-Future Stability Radiusstructural-affinity · Closed
- Polynomial Complexity and Subshift Hausdorff Dimensionstructural-affinity · Closed
- The Minimal Forward-Shift Action on the Golden Subshiftstructural-affinity · Closed
- The right-special word of a rotor sequencestructural-affinity · Closed
- Topology and Cardinality of Word Subshiftsstructural-affinity · Closed
- Uniform Finite-Pattern Recurrence Across the Golden Subshiftstructural-affinity · Closed
- Uniform Recurrence of the Golden Wordstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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